EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM WITH THE CRITICAL EXPONENT AND A HARDY TERM

被引：0

作者：

Hirano, Norimichi ^{[1
]}

Shioji, Naoki ^{[1
]}

机构：

[1] Yokohama Natl Univ, Grad Sch Environm & Informat Sci, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2008年 / 21卷 / 9-10期

基金：

日本学术振兴会;

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that if mu > 0 is small enough, the problem {-Delta mu - mu mu/vertical bar x vertical bar(2) = vertical bar u vertical bar(2*-2)u in Omega, u = 0 on partial derivative Omega has at least cat Omega - 1 positive solutions, where Omega is a noncontractible, bounded domain in R-N (N >= 4) such that its boundary is smooth and 0 is an element of Omega.

引用

页码：971 / 980

页数：10

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